Browsing > By author > Merodio Jose

Residual stress may have an important influence on the mechanical response of residually stressed materials.
This paper is concerned with the effects of residual stress on the stability of inflated, axially extended, residually
stressed circular cylindrical tube. To this end, the theory of small incremental deformations superimposed on a large
underlying finite deformation is used. Asymmetric and axisymmetric types of bifurcation are considered. It is found
that for residual stress parameter gamma of the same sign the effect of the residual stress is different depending on the
type of bifurcation. For example, for asymmetric bifurcations with mode number m = 1 and with positive gamma inclusion
of residual stress makes the tube more stable, on the other hand, for axisymmetric bifurcations inclusion of residual
stress, corresponding to positive residual stress parameter gamma, leads to increase of instabilities. In all cases, residual
stress with positive and negative residual stress parameter gamma leads to a symmetric character of bifurcation curves.
Keywords: Nonlinear elasticity; Residual stresses; Incremental elastic deformations; Tube bifurcation.